April 2017

Conference Paper

Use of Generalized Davidson Eigenvalue Solver for Coarse Mesh Finite Difference Acceleration

By:
Collins, Benjamin S; Hamilton, Steven P; Stimpson, Shane G
Page Number:
1-7
Book Title:
M&C 2017 - International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering
Publication Date:
April 2017
Conference Name:
2017 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C 2017)
Conference Location:
Jeju Island, South Korea
Conference Sponsor:
ANS

Abstract

This paper summarizes improvements in the coarse mesh finite difference (CMFD) performance by focusing on the eigenvalue solution methodology. The current solution technique uses a shifted power iteration with the PETSc solver package. A generalized Davidson methodology has been implemented into MPACT using the Trilinos solver package. The new generalized Davidson solver shows significant improvements in the overall runtime for the CMFD acceleration scheme and the overall MPACT performance. The performance improves between 5 and 27 times for the CMFD runtime. This results in a speedup of between 2.5 to 5 times on the overall solution time for MPACT.

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